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349579648 = 2711222571
BaseRepresentation
bin10100110101100…
…010100110000000
3220100210111010101
4110311202212000
51203443022043
654404412144
711443243435
oct2465424600
9810714111
10349579648
1116a368400
12990a7054
1357569a82
14345dbb8c
1520a5424d
hex14d62980

349579648 has 48 divisors (see below), whose sum is σ = 765529380. Its totient is φ = 158892800.

The previous prime is 349579639. The next prime is 349579693. The reversal of 349579648 is 846975943.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4203 + ... + 26773.

Almost surely, 2349579648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349579648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382764690).

349579648 is an abundant number, since it is smaller than the sum of its proper divisors (415949732).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

349579648 is a wasteful number, since it uses less digits than its factorization.

349579648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22607 (or 22584 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 55.

The square root of 349579648 is about 18697.0491789480. The cubic root of 349579648 is about 704.4476319836.

The spelling of 349579648 in words is "three hundred forty-nine million, five hundred seventy-nine thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1936 3872 7744 15488 22571 45142 90284 180568 248281 361136 496562 722272 993124 1444544 1986248 2731091 2889088 3972496 5462182 7944992 10924364 15889984 21848728 31779968 43697456 87394912 174789824 349579648